Tuning 72 notes

One has to work at it to come up with a badness figure which will not
lead to the conclusion that ennealimmal is the best 7- or 9-limit
linear temperament for tuning 72 notes to the octave, and miracle the
second-best. Who's on third? This is no longer so clear; the question
requires us to choose our badness measure. Sticking to log-flat
badness measures for temperaments consistent with the 72-et standard
val (and this situation provides an example where log-flatness clearly
seems to be the way to go) we still are left with choices. TOP error
seems a reasonable choice for an error measure, but the results are
highly dependent on complexity measures. If like me you are
particularly interested in complete 7 or 9 limit o/u-tonalities,
Graham complexity in either it's 7 or 9 version is the best choice.

In the 7-limit, perhaps suprisingly, catakleismic/hanson does not come
in third. Instead, we have this:

Wedgie: <24 20 16 -24 -42 -19|
Mapping: [<4 6 9 11|, <0 6 5 4|]
TM basis: {2401/2400, 15625/15552}
TOP generators: [300.07 17.00]
ets: 68, 72, 140, 212

In the 9-limit, catakleismic/hanson does come in third, but
<12 34 20 26 -2 -49|, <12 22 -4 7 -40 -71| and waage make respectible
showings also. I think my complexity cutoff was set too low; surely
tuning 72 notes is not an unreasonable thing to contemplate, and the
commas are by no means beyond the bounds of utility.